How to pronounce “euclidean” in English

So Euclidean space is a flat space.

And in Euclidean geometry, we can measure the distance along a path.

It's part of Euclidean geometry.

The real thing about Euclidean geometry is not that he derived brand new results because most of his results had already been derived by other people.

Why should the strange laws of non-Euclidean geometry, which were originally conceived of as a thought experiment in the 19th century, turn out to be the exact mathematics

This was the beginning of non-Euclidean geometry, which turns out to be very, very useful for Einstein.

Because Gauss knew about this non-Euclidean stuff, but he knew there was still a lot of work to do, the general problem.

Pythagoras' theorem helps you do it for Euclidean geometry.

You have Pythagoras' theorem for Euclidean space, and you have Minkowski's equation for relativistic spacetime.

How do we move from this Euclidean idea?

So all that quantification was achieved through Euclidean geometry tools, whereas the arithmetic number-based tools

Euclid-- people say you have to learn Euclidean geometry, and look at all these things that were built after Euclid.

This minus sign is obviously different in Minkowskian geometry versus Euclidean geometry.

of indefinite ternary quadratic forms are identical to those of non-Euclidean geometry."

And his fashion is about trying to incorporate non-Euclidean surfaces into his fashion.

had come to the modern conception of space-- the idea that space is Euclidean void that can be described by mathematics.

Or if you're working on a tabletop or something like that, we have Euclidean geometry.

Well, remember, there's Euclidean geometry.

So analytic geometry treats geometric issues with equations, and Euclidean geometry treats it with illustrations and shapes.

And this led to "Antifragile," where I was explaining that architects always do a better job when they don't use Euclidean geometry,

That discovery introduced a revolution in mathematics, and ultimately led to the field of non-Euclidean geometry, which is the mathematics that underlies general relativity.

in one way or another, apply point A to point B, kind of a Euclidean approach, that I'm going to say is not quite how it works.

And in fact, Dr. Taimina and her husband David Henderson, who is a great geometer, they indeed do use these models to teach non-Euclidean geometry

and other geometric forms behave in hyperbolic space, which is different to the way they behave in Euclidean space.

Well, it's an alternative to the two kinds of geometries you're already very familiar with-- Euclidean geometry or Euclidean space, and spherical space.

So he's learning very elaborate, and pioneering very elaborate means of pattern cutting that enable him to sew non-Euclidean surfaces

to them, that at the same time as that, they're being taught about non-Euclidean geometry and shown some insight into the mathematics that going to lead